For
The Taylor series is a polynomial approximation of a function, where the polynomial has an increasing number of terms. The first two terms of the Taylor series are the same as the linearization of the function.
The Taylor series converges within a specific radius of convergence, which is a number
For Multi-variable Functions
See: Taylor series for multi-variable functions
See Also
- The Borel’s Theorem states that every power series is the Taylor series of some smooth function